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What is the importance of dual electromagnetic field tensor? Generally this is not included in the action. What will be the advantage/disadvantage if I include terms like

[tex]

F_{\mu \nu}\tilde{F}^{\mu \nu}, \tilde{F}_{\mu \nu}\tilde{F}^{\mu \nu}

[/tex]

in the action? (The tilde denotes the dual tensor.)

Also does the property of dual tensor depend on the spacetime dimension?

It seems ultimately these can be simplified and written in terms of [tex]F_{\mu \nu}[/tex] alone but the [tex]\epsilon^{\mu \nu \rho \sigma} [/tex] will give rise to new features. These I expect will depend on the dimension. But some interesting new features should also emerge. I am thinking about it. Meanwhile you may help with your comments. Thanks.

[tex]

F_{\mu \nu}\tilde{F}^{\mu \nu}, \tilde{F}_{\mu \nu}\tilde{F}^{\mu \nu}

[/tex]

in the action? (The tilde denotes the dual tensor.)

Also does the property of dual tensor depend on the spacetime dimension?

It seems ultimately these can be simplified and written in terms of [tex]F_{\mu \nu}[/tex] alone but the [tex]\epsilon^{\mu \nu \rho \sigma} [/tex] will give rise to new features. These I expect will depend on the dimension. But some interesting new features should also emerge. I am thinking about it. Meanwhile you may help with your comments. Thanks.

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